Abstract: In recent years, with the continuous development of natural gas power generation technology and electricity-to-gas technology, the coupling of power system and natural gas system has been promoted, and power systems and natural gas systems have been transformed from independent planning and operation to joint planning and operation. In this context, the collaborative planning problem of integrated energy systems was studied. Firstly, carbon trading mechanism was introduced into the planning model to construct a reward and punishment ladder-type carbon trading cost model to restrict carbon emissions. Then, on this basis, a planning model aiming at the minimum sum of investment cost, operating cost and carbon trading cost of the integrated energy system was established. The two-stage robust optimization model was used to deal with the uncertainty of electrical load, thermal load and electro-thermal transferable load. Finally, an example was given to verify the effectiveness of the planning model in terms of system low carbon and economy.